SIDE III—Symmetries and Integrability of Difference Equations

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Edited by Decio Levi; Orlando Ragnisco

A co-publication of the AMS and Centre de Recherches
Mathématiques

This volume contains the proceedings of the third meeting on
“Symmetries and Integrability of Difference Equations”
(SIDE III). The collection includes original results not published
elsewhere and articles that give a rigorous but concise overview of
their subject, and provides a complete description of the state of the
art. Research in the field of difference equations—often
referred to more generally as discrete systems—has undergone
impressive development in recent years. In this collection the reader
finds the most important new developments in a number of areas,
including: Lie-type symmetries of differential-difference and
difference-difference equations, integrability of fully discrete
systems such as cellular automata, the connection between
integrability and discrete geometry, the isomonodromy approach to discrete
spectral problems and related discrete Painlevé equations,
difference and q-difference equations and orthogonal polynomials,
difference equations and quantum groups, and integrability and chaos
in discrete-time dynamical systems.

The proceedings will be valuable to mathematicians and theoretical
physicists interested in the mathematical aspects and/or in the physical
applications of discrete nonlinear dynamics, with special emphasis on the
systems that can be integrated by analytic methods or at least admit
special explicit solutions. The research in this volume will also be of
interest to engineers working in discrete dynamics as well as to
theoretical biologists and economists.

Titles in this series are co-published with the Centre
de Recherches Mathématiques.

Readership

Graduate students in mathematics and theoretical physics;
researchers in mathematics, physics and informatics.

Reviews & Endorsements

Strongly recommend this volume to all libraries of research institutions and
to mathematicians with interest in difference equations.

Publisher Blurb:
A co-publication of the AMS and Centre de Recherches
Mathématiques

Abstract:

This volume contains the proceedings of the third meeting on
“Symmetries and Integrability of Difference Equations”
(SIDE III). The collection includes original results not published
elsewhere and articles that give a rigorous but concise overview of
their subject, and provides a complete description of the state of the
art. Research in the field of difference equations—often
referred to more generally as discrete systems—has undergone
impressive development in recent years. In this collection the reader
finds the most important new developments in a number of areas,
including: Lie-type symmetries of differential-difference and
difference-difference equations, integrability of fully discrete
systems such as cellular automata, the connection between
integrability and discrete geometry, the isomonodromy approach to discrete
spectral problems and related discrete Painlevé equations,
difference and q-difference equations and orthogonal polynomials,
difference equations and quantum groups, and integrability and chaos
in discrete-time dynamical systems.

The proceedings will be valuable to mathematicians and theoretical
physicists interested in the mathematical aspects and/or in the physical
applications of discrete nonlinear dynamics, with special emphasis on the
systems that can be integrated by analytic methods or at least admit
special explicit solutions. The research in this volume will also be of
interest to engineers working in discrete dynamics as well as to
theoretical biologists and economists.

Titles in this series are co-published with the Centre
de Recherches Mathématiques.

Book Series Name:
CRM Proceedings & Lecture Notes

Volume:
25

Publication Month and Year:
2000-06-15

Copyright Year:
2000

Page Count:
444

Cover Type:
Softcover

Print ISBN-13:
978-0-8218-2128-2

Online ISBN 13:
978-1-4704-3939-2

Print ISSN:
1065-8580

Online ISSN:
1065-8580

Primary MSC:
22;
33;
42;
39;
53

Textbook?:
false

Applied Math?:
false

MAA Book?:
false

Electronic Media?:
false

Apparel or Gift:
false

Publisher (non-AMS):
A co-publication of the AMS and Centre de Recherches Mathématiques